[refactor] Billing DI refactor #5231

Job	Run time
build-and-check	2m 45s
test-packages/agent-runtime	52s
test-integration-cli	44s
test-packages/billing	50s
test-common	40s
test-.agents	46s
test-cli	1m 3s
test-sdk	52s
test-integration-common	46s
test-integration-sdk	53s
test-integration-web	41s
test-integration-packages/agent-runtime	41s
test-packages/internal	44s
test-integration-packages/billing	42s
test-integration-.agents	1m 12s
test-web	46s
test-integration-packages/internal	46s
	15m 43s

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